Drain Current given process transconductance and transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter)
id = gm^2/(2*WL*k'n)
This formula uses 4 Variables
Variables Used
Drain Current - (Measured in Ampere) - Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Aspect Ratio - Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor.
Process Transconductance Parameter - (Measured in Ampere per Square Volt) - The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Aspect Ratio: 0.1 --> No Conversion Required
Process Transconductance Parameter: 0.015 Ampere per Square Volt --> 0.015 Ampere per Square Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
id = gm^2/(2*WL*k'n) --> 0.0005^2/(2*0.1*0.015)
Evaluating ... ...
id = 8.33333333333333E-05
STEP 3: Convert Result to Output's Unit
8.33333333333333E-05 Ampere -->0.0833333333333333 Milliampere (Check conversion ​here)
FINAL ANSWER
0.0833333333333333 0.083333 Milliampere <-- Drain Current
(Calculation completed in 00.020 seconds)

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Transconductance Calculators

Transconductance given Process Transconductance Parameter
​ LaTeX ​ Go Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)
Transconductance given Drain Current
​ LaTeX ​ Go Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)
Transconductance using Process Transconductance Parameter and Overdrive Voltage
​ LaTeX ​ Go Transconductance = Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage
Drain Current using Transconductance
​ LaTeX ​ Go Drain Current = (Overdrive Voltage)*Transconductance/2

Drain Current given process transconductance and transconductance Formula

​LaTeX ​Go
Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter)
id = gm^2/(2*WL*k'n)

What is the use of transconductance in MOSFET?

Transconductance is an expression of the performance of a bipolar transistor or field-effect transistor (FET). In general, the larger the transconductance figure for a device, the greater the gain(amplification) it is capable of delivering, when all other factors are held constant.

How to Calculate Drain Current given process transconductance and transconductance?

Drain Current given process transconductance and transconductance calculator uses Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter) to calculate the Drain Current, Drain Current given process transconductance and transconductance is the drain current which depends on transconductance, aspect ratio and process transconductance. Drain Current is denoted by id symbol.

How to calculate Drain Current given process transconductance and transconductance using this online calculator? To use this online calculator for Drain Current given process transconductance and transconductance, enter Transconductance (gm), Aspect Ratio (WL) & Process Transconductance Parameter (k'n) and hit the calculate button. Here is how the Drain Current given process transconductance and transconductance calculation can be explained with given input values -> 83.33333 = 0.0005^2/(2*0.1*0.015).

FAQ

What is Drain Current given process transconductance and transconductance?
Drain Current given process transconductance and transconductance is the drain current which depends on transconductance, aspect ratio and process transconductance and is represented as id = gm^2/(2*WL*k'n) or Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter). Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant, Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor & The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
How to calculate Drain Current given process transconductance and transconductance?
Drain Current given process transconductance and transconductance is the drain current which depends on transconductance, aspect ratio and process transconductance is calculated using Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter). To calculate Drain Current given process transconductance and transconductance, you need Transconductance (gm), Aspect Ratio (WL) & Process Transconductance Parameter (k'n). With our tool, you need to enter the respective value for Transconductance, Aspect Ratio & Process Transconductance Parameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Drain Current?
In this formula, Drain Current uses Transconductance, Aspect Ratio & Process Transconductance Parameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drain Current = (Overdrive Voltage)*Transconductance/2
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